Minimizers with topological singularities in two dimensional elasticity
Jonathan J. Bevan, Xiaodong Yan · ESAIM Control Optimisation and Calculus of Variations · 2007
For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S1; the minimizer u is C1 and is such that vanishes at one point.